Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368ba |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-1831818493145088 = -1 · 212 · 37 · 75 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -3 -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,2059216] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1764:1] [-120:644:1] |
Generators of the group modulo torsion |
j |
-12487168/613472307 |
j-invariant |
L |
8.4731144964099 |
L(r)(E,1)/r! |
Ω |
0.37458677290168 |
Real period |
R |
0.18849914780257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368m1 92736fl1 15456s1 |
Quadratic twists by: -4 8 -3 |